Skoči na glavni sadržaj

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 558=28, 2024.

Izvorni znanstveni članak

https://doi.org/10.21857/mnlqgc3qqy

Similitude exceptional theta correspondences

Petar Bakić orcid id orcid.org/0000-0003-3341-179X ; Department of Mathematics, University of Utah, Salt Lake City, UT, USA
Wee Teck Gan ; Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076
Gordan Savin orcid id orcid.org/0000-0002-9547-4393 ; Department of Mathematics, University of Utah, Salt Lake City, UT, USA

Puni tekst: engleski pdf 662 Kb

str. 193-222

preuzimanja: 229

citiraj

Sažetak

We describe a systematic way of constructing dual pairs of similitude groups. We study the theta correspondences arising in this way and prove that Howe duality holds for the similitude dual pair if and only if it holds for the original reductive dual pair used in our construction. Several examples of exceptional correspondences are discussed.

Ključne riječi

theta correspondences; similitude groups

Hrčak ID:

313631

URI

https://hrcak.srce.hr/313631

Datum izdavanja:

24.1.2024.

Posjeta: 517 *